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In a fruit basket, the ratio of apples to oranges is 2:3. If there are 30 orange

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Question: In a fruit basket, the ratio of apples to oranges is 2:3. If there are 30 oranges, how many apples are there?

Options:

  1. 20
  2. 25
  3. 15
  4. 10

Correct Answer: 20

Solution: 

The ratio of apples to oranges is 2:3. If there are 30 oranges, we can set up the proportion: 2/3 = x/30. Solving for x gives us x = 20. Therefore, there are 20 apples.

In a fruit basket, the ratio of apples to oranges is 2:3. If there are 30 orange

Practice Questions

Q1
In a fruit basket, the ratio of apples to oranges is 2:3. If there are 30 oranges, how many apples are there?
  1. 20
  2. 25
  3. 15
  4. 10

Questions & Step-by-Step Solutions

In a fruit basket, the ratio of apples to oranges is 2:3. If there are 30 oranges, how many apples are there?
  • Step 1: Understand the ratio of apples to oranges, which is 2:3. This means for every 2 apples, there are 3 oranges.
  • Step 2: Identify how many parts the total ratio has. Add the parts of the ratio: 2 (apples) + 3 (oranges) = 5 parts total.
  • Step 3: Determine how many oranges correspond to one part. Since there are 30 oranges, divide 30 by the total parts: 30 oranges / 3 parts = 10 oranges per part.
  • Step 4: Now, find out how many apples correspond to the 2 parts of apples in the ratio. Multiply the number of oranges per part (10) by the number of parts for apples (2): 10 oranges per part * 2 parts = 20 apples.
  • Step 5: Conclude that there are 20 apples in the fruit basket.
  • Ratios and Proportions – Understanding how to set up and solve ratios based on given quantities.
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